Question
C is 37.5% more efficient than A, and A is 60% more
efficient than B. If A, B, and C together can complete a task in 40 days, how long will it take A alone to complete 75% of the task?Solution
Let efficiency of ‘B’ ‘5x’ units per day
Efficiency of ‘A’ = 1.60 × 5x = 8x units per day
Efficiency of ‘C’ = 1.375 × 8x = 11x units per day
Total work = (3x + 8x + 11x) × 40 = 960x units
Desired time = (0.75 × 960x)/8x = 90 days
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